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Finding the Fourth Proportional to 3,043.05, 4,564.31 and 851.87

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Solution

The fourth proportional to 3,043.05, 4,564.31 and 851.87 is: 1,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.05 : 4,564.31 = 851.87 : x
  2. Step 2: Convert to fraction form
    3,043.05/4,564.31 = 851.87/x
  3. Step 3: Cross multiply
    3,043.05x = 4,564.31 × 851.87
  4. Step 4: Simplify right side
    3,043.05x = 3,888,171.68
  5. Step 5: Solve for x
    x = 3,888,171.68/3,043.05
  6. Step 6: Final answer
    x = 1,277.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.